Question

if tan theta = 1, then find the values of sin theta+cos theta/sec theta+cosec theta​

Answer 1

the correct of

the question

is

1/2

Answer 2

Answer:

tanQ = 1

so, we can say 1 = tan45°

so, tanQ = tan45°

so, Q = 45°

(sinQ + cosQ)/ (secQ + CosecQ)

(sinQ+cosQ) ÷ (secQ+ cosecQ)

(sinQ+cosQ) ÷ ( 1 / cosQ + 1/ SinQ)

(sinQ+cosQ) ÷ (cosQ+sinQ)/CosQSinQ

(SinQ+CosQ) × cosQsinQ/(cosQ + sinQ)

==> CosQsinQ

we know that Q = 45°

==> Cos45° × Sin45°

==> ( 1/√2 × 1/√2)

==> 1/2

answer = 1/2